Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 618, 408, 98, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 618, 408, 98, 365 is 1
GCD(618, 408, 98, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 618, 408, 98, 365 is 1
GCD(618, 408, 98, 365) = 1
Given Input numbers are 618, 408, 98, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 618
List of positive integer divisors of 618 that divides 618 without a remainder.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 408
List of positive integer divisors of 408 that divides 408 without a remainder.
1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 618, 408, 98, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 408, 98, 365 is 1.
Therefore, GCD of numbers 618, 408, 98, 365 is 1
Given Input Data is 618, 408, 98, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 618 is 2 x 3 x 103
Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 365 is 5 x 73
The above numbers do not have any common prime factor. So GCD is 1
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(618, 408) = 42024
GCD(618, 408) = ( 618 x 408 ) / 42024
GCD(618, 408) = 252144 / 42024
GCD(618, 408) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 98) = 294
GCD(6, 98) = ( 6 x 98 ) / 294
GCD(6, 98) = 588 / 294
GCD(6, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 365) = 730
GCD(2, 365) = ( 2 x 365 ) / 730
GCD(2, 365) = 730 / 730
GCD(2, 365) = 1
GCD of 618, 408, 98, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 618, 408, 98, 365?
GCD of 618, 408, 98, 365 is 1
2. Where do I get the detailed procedure to find GCD of 618, 408, 98, 365?
You can find a detailed procedure to find GCD of 618, 408, 98, 365 on our page.
3. How to find GCD of 618, 408, 98, 365 on a calculator?
You can find the GCD of 618, 408, 98, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.